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2230232100 = 2235215747351
BaseRepresentation
bin1000010011101110…
…1010010000100100
312202102120112021220
42010323222100210
514031414411400
61005145340340
7106160442255
oct20473522044
95672515256
102230232100
11a449a9428
12522a976b0
13297088185
141722aab2c
15d0bde7a0
hex84eea424

2230232100 has 72 divisors (see below), whose sum is σ = 6494042688. Its totient is φ = 590928000.

The previous prime is 2230232087. The next prime is 2230232107. The reversal of 2230232100 is 12320322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2230232100.

It is not an unprimeable number, because it can be changed into a prime (2230232107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23425 + ... + 70775.

Almost surely, 22230232100 is an apocalyptic number.

2230232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247021344).

2230232100 is an abundant number, since it is smaller than the sum of its proper divisors (4263810588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2230232100 is a wasteful number, since it uses less digits than its factorization.

2230232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47525 (or 47518 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2230232100 is about 47225.3332439275. Note that the first 3 decimals coincide. The cubic root of 2230232100 is about 1306.5218809391.

Adding to 2230232100 its reverse (12320322), we get a palindrome (2242552422).

The spelling of 2230232100 in words is "two billion, two hundred thirty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 7850 9420 11775 15700 23550 47100 47351 94702 142053 189404 236755 284106 473510 568212 710265 947020 1183775 1420530 2367550 2841060 3551325 4735100 7102650 7434107 14205300 14868214 22302321 29736428 37170535 44604642 74341070 89209284 111511605 148682140 185852675 223023210 371705350 446046420 557558025 743410700 1115116050 2230232100